Question

A sofa was sold for 21,250 after giving 15% discount. What was the listed price of the sofa ?
I want answer with Explanation​

Answer 1

✬ Listed Price = 25000 ✬

Step-by-step explanation:

Given:

• Selling price of sofa is Rs 21250.
• Discount percent given on sofa is 15%.

To Find:

• What was the marked price of sofa?

Solution: Let the marked price of sofa be Rs x. Therefore,

➟ Total discount = 15 % of x.

➟ Total discount = 15x/100

• or 3x/20

As we know that

★ S.P = Marked Price – Discount ★

A/q

• S.P is Rs 21250

$\implies{\rm }$ 21250 = x – 3x/20

$\implies{\rm }$ 21250 = 20x – 3x/20

$\implies{\rm }$ 21250 × 20 = 17x

$\implies{\rm }$ 425000 = 17x

$\implies{\rm }$ 425000/17 = x

$\implies{\rm }$ 25000 = x

Hence, marked price of listed price of sofa was Rs 25000.

[ Verification ]

➮ Discount = M.P – S.P

➮ Rs 25000 – 21250 = 3750

• Discount % = (Discount/List price × 100) %

➮ 15 % = (3750/25000 × 100) %

➮ 15 % = (3750/250) %

➮ 15 % = 15%

$\large\bold{\texttt {Verified }}$